Chapter 11: Q.251 (page 1157)

In the following exercises, find the midpoint of the line segments whose endpoints are given: $(- 3, 2)$ And $(6, - 9)$

Short Answer

Expert verified

The midpoint of the given line segment is $(\frac{3}{2}, - \frac{7}{2})$

Step by step solution

Given information

We are given the endpoints of the line segment $A (- 3, 2)$ and $B (6, - 9)$

We use midpoint formula to find the midpoint

The midpoint formula can be given as

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Let $(x_{1}, y_{1}) = (- 3, 2) (x_{2}, y_{2}) = (6, - 9)$

Substituting the values in the midpoint formula we get

$M = (\frac{- 3 + 6}{2}, \frac{2 - 9}{2}) M = (\frac{3}{2}, \frac{- 7}{2})$

Conclusion

The Midpoint of the given line segment is $(\frac{3}{2}, - \frac{7}{2})$

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In the following exercises, find the midpoint of the line segments whose endpoints are given: $(- 3, 2)$ And $(6, - 9)$

Short Answer

Step by step solution

Given information

We use midpoint formula to find the midpoint

Conclusion

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In the following exercises, find the midpoint of the line segments whose endpoints are given:(-3,2)And(6,-9)

Short Answer

Step by step solution

Given information

We use midpoint formula to find the midpoint

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, find the midpoint of the line segments whose endpoints are given: $(- 3, 2)$ And $(6, - 9)$